78 Divided by What Equals 53?
Methods
Setting up the problem:
In a problem like this, the “what” means that we’re working with a variable. The most common variable used in math is “x”. So we could say what number, x can we divide 78 by to equal 53?
Solving 78 Divided by What Equals 53
Here’s how you would set up this question as an equation:
78
x
=
53
\frac{78}{x} = 53
x 78 = 53
The goal of the problem is to solve for x. To do this we need to change the equation so that x is alone on one side of the equation.In this case, it can be done in two steps. The first step is to multiply both sides by x to isolate 78:
78
=
53
∗
x
78 = 53*x
78 = 53 ∗ x
Then we can isolate x on the right side of the equation by dividing both sides by 53:
78
53
=
x
\frac{78}{53} = x
53 78 = x
When we simplify the new equation, we can solve for x. In this example, we will round to the nearest three decimal places if that’s needed.
x
=
1.472
x = 1.472
x = 1.472
Practice Other Division Problems Like This One
If this problem was a little difficult or you want to practice your skills on another one, give it a go on any one of these too!
What divided by 51 equals 26?
36 divided by what equals 5?
What is 4/7 divided by 58?
What is 10/13 divided by 16/6?
What is 13 divided by 11/15?